The Brazilian-born Spanish forward was offloaded to Atletico Madrid in the summer of 2017, before sacking Conte a year later. The Italian manager Conte sent a text to Costa while on vacation and said: "you are not in my plan".
Meanwhile, with both sides looking to strengthen their defensive options in the summer, the battle to sign the player might linger to the very last.
Chelsea fans sent a last desperate plea to Eden Hazard begging the forward to stay at the club during the side's clash with Leicester on the final day of the Premier League season.
Mateo Kovacic: Chelsea and Arsenal fans react to Real Madrid midfielder's imminent £45million move to Stamford Bridge
The ban, which spans over two windows, prevents the Blues from registering new players by football's governing body, FIFA, until the summer of 2020.
Chelsea news: Cesar Azpilicueta is going the same way as Branislav Ivanovic and becoming a liability, says Tony Cascarino
Chelsea opted to loan out Davide Zappacosta last month which means Azpilicueta is the only fit right-back Lampard can call upon.
Ozil is into his sixth season with the Gunners, having signed from Real Madrid in the summer of 2013.
A Vietnamese hacker reportedly breached an employment services company based in Lincoln City company's server and sold the names to tax fraud ringleader Emmanuel Kazeem, who was sentenced last summer to 24 years in prison.
With the anticipated departure of Aaron Ramsey in the summer, Suarez has been earmarked as the perfect replacement for the Welshman.
Seri was one of the stand out players as the Allianz Riviera side challenged for the French title last season and had been expected to move to Roma earlier this summer before a move broke down.
The last few weeks has seen the rising star make his Boiler Room debut, support Wretch 32 and Avelino on their recent sold-out concert at KOKO, and will soon be announcing his debut headline concert in time for this summer.
The £65million summer signing made an outstanding save from Napoli substitute Arkadiusz Milik in stoppage time of Tuesday night's Champions League clash, ensuring a 1-0 victory for the Reds and progression to the last 16 of the competition.
The Gunners opened their 2018/19 campaign with a 2-0 defeat to last season's champions Manchester City on Sunday.
The Special One reckons it proves he worked a miracle in leading them to a second-placed finish last term.
"A summer signing from Real Madrid in 2017, the striker scored on his Premier League debut, heading home after coming off the bench in our opening game of 2017/18 against Burnley.